Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

analyze22.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.7% of total)

ival-add: 2.0ms (46.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample604.0ms (19.5%)

Results

386.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-div: 67.0ms (50.3% of total)

ival-add: 55.0ms (41.3% of total)

const: 7.0ms (5.3% of total)

backward-pass: 3.0ms (2.3% of total)

Bogosity

preprocess74.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

227×	`fma-define`
138×	`fma-neg`
81×	`times-frac`
51×	`associate-l`
41×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	178
1	43	154
2	83	154
3	175	154
4	395	154
5	664	154
6	965	154
7	1086	154
8	1129	154
9	1157	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 y x))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 x (+.f64 (neg.f64 y) x))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y (neg.f64 x))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 y) x)))
(/.f64 y (+.f64 x y))

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 y x))
(/.f64 x (-.f64 x y))
(/.f64 x (+.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (-.f64 y x))
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y (neg.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 y x)))
(/.f64 x (-.f64 y x))
(neg.f64 (/.f64 x (+.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 y x)))
(/.f64 x (-.f64 y x))
(/.f64 y (+.f64 x y))

explain39.0ms (1.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 y x)`
-	-	`(/.f64 x (+.f64 y x))`
-	-	`y`

Results

23.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (49.3% of total)

ival-add: 3.0ms (37% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (+.f64 y x))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize19.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))

Results

14.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.1% of total)

ival-add: 2.0ms (49.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (/.f64 x (+.f64 y x))>

Outputs
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ x (+ y x))
1.0ms	y	@	-inf	(/ x (+ y x))
1.0ms	x	@	-inf	(/ x (+ y x))
0.0ms	x	@	inf	(/ x (+ y x))
0.0ms	y	@	inf	(/ x (+ y x))

rewrite343.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log1p-expm1-u`
570×	`expm1-log1p-u`
493×	`unpow-prod-down`
473×	`prod-diff`
270×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	102	22
2	1509	22

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify123.0ms (4%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-define`
493×	`associate-/r*`
355×	`associate-*r/`
307×	`associate-/l*`
279×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	342	4266
1	761	3995
2	1982	3875
3	7395	3746

Stop Event

1×	node limit

Counts

105 → 152

Calls

Call 1

Inputs
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(fma.f64 y (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(fma.f64 y (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
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(.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(/.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))) (cbrt.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (+.f64 x y))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(/.f64 x (+.f64 x y))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(/.f64 x (+.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(/.f64 x (+.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(/.f64 x (+.f64 x y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(/.f64 x (+.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 x y))

eval29.0ms (0.9%)

Compiler: Compiled 2184 to 1027 computations (53% saved)

prune75.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	6	153

Accuracy

100.0%

Counts

153 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))
✓	100.0%	(/.f64 x (+.f64 y x))
▶	48.7%	(/.f64 x y)
▶	52.7%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
▶	52.7%	#s(literal 1 binary64)

Compiler

Compiled 91 to 60 computations (34.1% saved)

localize97.0ms (3.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))
✓	99.8%	(/.f64 (sqrt.f64 x) (+.f64 x y))
✓	100.0%	(+.f64 (/.f64 y x) #s(literal -1 binary64))
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
✓	99.9%	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)

Results

25.0ms	128×	0	invalid
38.0ms	128×	0	valid

Compiler

Compiled 86 to 33 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (30% of total)

ival-pow: 9.0ms (24.6% of total)

ival-add: 7.0ms (19.1% of total)

ival-mult: 5.0ms (13.7% of total)

ival-sqrt: 2.0ms (5.5% of total)

const: 2.0ms (5.5% of total)

backward-pass: 0.0ms (0% of total)

series28.0ms (0.9%)

Counts

7 → 168

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x y))>
#<alt (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))>
#<alt (+.f64 (/.f64 y x) #s(literal -1 binary64))>
#<alt (/.f64 (sqrt.f64 x) (+.f64 x y))>
#<alt (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))>

Outputs
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) y) x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 2 binary64))) x)) y) x)) #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x) y)) #s(literal 1 binary64)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) x) y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
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Calls

42 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/ (sqrt x) (+ x y))
1.0ms	y	@	-inf	(+ 1 (* (/ y x) (+ (/ y x) -1)))
1.0ms	x	@	-inf	(/ (sqrt x) (+ x y))
1.0ms	y	@	inf	(* (/ y x) (+ (/ y x) -1))
1.0ms	x	@	-inf	(* (/ y x) (+ (/ y x) -1))

rewrite186.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`log1p-expm1-u`
607×	`expm1-log1p-u`
151×	`add-cube-cbrt`
150×	`add-exp-log`
149×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	188
1	340	184
2	5175	184

Stop Event

1×	node limit

Counts

7 → 288

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) (+.f64 x y))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)))
(/.f64 x (+.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 x y))
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 (neg.f64 y) x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 x y) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)
(/.f64 (.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (.f64 (neg.f64 x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 x y)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) y) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (neg.f64 y)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 y)) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (*.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))

simplify414.0ms (13.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg`
361×	`*-commutative`
351×	`associate-r`
351×	`fma-define`
296×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	892	20407
1	2354	18678
2	7974	18670

Stop Event

1×	node limit

Counts

456 → 533

Calls

Call 1

Inputs
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) y) x)) #s(literal 1 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 2 binary64))) x)) y) x)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x) y)) #s(literal 1 binary64)) y))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) x) y)) #s(literal 1 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 x (+.f64 x (.f64 #s(literal -1 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 x (+.f64 x (.f64 #s(literal -1 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
#s(literal -1 binary64)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)))
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))) x))
(.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) (.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/4 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 x (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))

Outputs
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (-.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x) y))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))) y))) y)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) x)
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(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(/.f64 x y)
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(/.f64 x y)
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(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(/.f64 x (+.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 x (+.f64 x y))

eval267.0ms (8.6%)

Compiler: Compiled 9390 to 5317 computations (43.4% saved)

prune197.0ms (6.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	533	6	539

Accuracy

100.0%

Counts

539 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
✓	100.0%	(/.f64 x (+.f64 y x))
✓	48.7%	(/.f64 x y)
✓	52.7%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓	52.7%	#s(literal 1 binary64)

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize29.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
✓	99.7%	(/.f64 (+.f64 x y) (sqrt.f64 x))

Results

12.0ms	128×	0	invalid
9.0ms	128×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.6% of total)

ival-add: 2.0ms (31.6% of total)

ival-sqrt: 2.0ms (31.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 x y) (sqrt.f64 x))>
#<alt (/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))>

Outputs
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))>
#<alt (sqrt.f64 x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ x y) (sqrt x))
1.0ms	x	@	-inf	(/ (sqrt x) (/ (+ x y) (sqrt x)))
1.0ms	x	@	0	(/ (+ x y) (sqrt x))
0.0ms	y	@	0	(/ (+ x y) (sqrt x))
0.0ms	x	@	inf	(/ (+ x y) (sqrt x))

rewrite139.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
537×	`prod-diff`
411×	`log-prod`
188×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	148	48
2	2201	48

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (+.f64 x y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (+.f64 x y))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))

simplify263.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-define`
437×	`associate-*r/`
360×	`associate-*l/`
351×	`associate-/l*`
306×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	5087
1	857	4837
2	2559	4749
3	7878	4749

Stop Event

1×	node limit

Counts

137 → 168

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (+.f64 x y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (+.f64 x y))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))

Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y (sqrt.f64 x))) x)
(/.f64 (fma.f64 y (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y (sqrt.f64 x))) x)
(/.f64 (fma.f64 y (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y)) x)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y (sqrt.f64 x))) x)
(/.f64 (fma.f64 y (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 x))
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 y (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 y (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 x)) (neg.f64 y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) y) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))
(fma.f64 y (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) y)
(/.f64 (+.f64 x (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (-.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) y)
(/.f64 (+.f64 x (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(/.f64 (+.f64 x (-.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
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eval26.0ms (0.8%)

Compiler: Compiled 2472 to 1116 computations (54.9% saved)

prune26.0ms (0.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	168	6	174

Accuracy

100.0%

Counts

174 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
✓	100.0%	(/.f64 x (+.f64 y x))
✓	48.7%	(/.f64 x y)
✓	52.7%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓	52.7%	#s(literal 1 binary64)

Compiler

Compiled 96 to 53 computations (44.8% saved)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 x y)
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))

Outputs
(/.f64 x (+.f64 y x))

Calls

3 calls:

4.0ms	y
3.0ms	x
2.0ms	(/.f64 x (+.f64 y x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.2%)

Counts

2 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 x y)

Outputs
#s(literal 1 binary64)
(/.f64 x y)
#s(literal 1 binary64)
(/.f64 x y)
#s(literal 1 binary64)

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
79.9%	5	`x`
73.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`y`
52.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4351626698476236e+23	3.2323272959450157e+35
4.0ms	-2.8955828630249176e-137	-2.1259993664906438e-137
11.0ms	-1.82571282045074e-121	-1.479533878206426e-124
9.0ms	-6898908.399944079	-1578.9624768683047

Results

19.0ms

464×

valid

Compiler

Compiled 302 to 240 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (54% of total)

ival-add: 3.0ms (40.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`if-not`
6×	`not-not`
6×	`if-if-or-not`
3×	`1-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	100
1	38	100
2	41	100
3	47	96
4	51	96
5	55	96
6	56	96
7	57	96

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 x (+.f64 y x))

(if (<=.f64 x #s(literal -2100000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal -2932957984674943/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 50000000000000002382364672 binary64)) (/.f64 x y) #s(literal 1 binary64)))))

#s(literal 1 binary64)

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 x #s(literal -2100000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal -2932957984674943/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 50000000000000002382364672 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2100000 binary64)) #s(literal 1 binary64) (if (or (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (and (not (<=.f64 x #s(literal -2932957984674943/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64))) (<=.f64 x #s(literal 50000000000000002382364672 binary64)))) (/.f64 x y) #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 30 to 21 computations (30% saved)

preprocess25.0ms (0.8%)

Compiler: Compiled 74 to 50 computations (32.4% saved)

AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

analyze22.0ms (0.7%)

sample604.0ms (19.5%)

preprocess74.0ms (2.4%)

explain39.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.6%)

series4.0ms (0.1%)

rewrite343.0ms (11%)

simplify123.0ms (4%)

eval29.0ms (0.9%)

prune75.0ms (2.4%)

localize97.0ms (3.1%)

series28.0ms (0.9%)

rewrite186.0ms (6%)

simplify414.0ms (13.3%)

eval267.0ms (8.6%)

prune197.0ms (6.3%)

localize29.0ms (0.9%)

series7.0ms (0.2%)

rewrite139.0ms (4.5%)

simplify263.0ms (8.5%)

eval26.0ms (0.8%)

prune26.0ms (0.8%)

regimes9.0ms (0.3%)

regimes8.0ms (0.2%)

regimes1.0ms (0%)

bsearch37.0ms (1.2%)

simplify15.0ms (0.5%)

soundness1.0ms (0%)

preprocess25.0ms (0.8%)

end0.0ms (0%)

Profiling